1019778961500 has 288 divisors, whose sum is σ = 3496929299136. Its totient is φ = 248674982400.

The previous prime is 1019778961483. The next prime is 1019778961567. The reversal of 1019778961500 is 51698779101.

1019778961500 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 7 + 78 + 9 + 61 + 500 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6178042 + ... + 6340958.

It is an arithmetic number, because the mean of its divisors is an integer number (12142115622).

Almost surely, 2^{1019778961500} is an apocalyptic number.

1019778961500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1019778961500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748464649568).

1019778961500 is an abundant number, since it is smaller than the sum of its proper divisors (2477150337636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1019778961500 is a wasteful number, since it uses less digits than its factorization.

1019778961500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163062 (or 163047 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 54.

The spelling of 1019778961500 in words is "one trillion, nineteen billion, seven hundred seventy-eight million, nine hundred sixty-one thousand, five hundred".